a pronghorn analope can run at speeds of about 59 miles per hour what is that speed in feet per second to the nearest whole number (remember that there are 5280 feet in a mile 60 seconds in a minute and 60 minutes in a hour

Answer:

5.68 ft

Step-by-step explanation:

12 inches = 1 feet

\(68 \: inches \: *\: \frac{1 feet}{12 \: inches} =\frac{68}{12} \: feet= 5.6777...\\\\68 \: inches \approx 5.68 \: feet\)

The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:

Point A (2, 5) becomes A' (-5, 2).

Point B (5, 4) becomes B' (-4, 5).

Point C (5, 2) becomes C' (-2, 5).

Point D (2, 3) becomes D' (-3, 2).

By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.

This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.

Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.

Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

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Answer:

D.)Gym B and Gym A charge the same hourly rate for childcare.

Step-by-step explanation:

Answer:

Gym A and Gym B charges the same hourly rate for childcare

Step-by-step explanation:

Gym B:

charge per 5 minute = $ 0.75

Charge per minute = 0.75 ÷ 5 = 0.15

Charge per hour (60 minutes) = 0.15* 60 = $ 9

So, Gym A and B charges same

2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".

Let's start by factoring out the common factor of n^3 from each term:

2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)

Now, let's rewrite the expression as a single term multiplied by n^3:

2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3

Simplifying the expression inside the parentheses:

= (2n^3 + 3n^2 + 10n^3)/n^3

= (12n^3 + 3n^2)/n^3

= 12 + 3/n

ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.

Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

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Answer:

x=17

Step-by-step explanation:

Product means multiply  is means equals

2x = 34

Divide each side by2

2x/2 = 34/2

x = 17

Answer:

neither; they'll reach the floor at the same time

Step-by-step explanation:

When the spheres are then rolled off a horizontal table at the same time with the same speed and both will fall simultaneously to the floor.  

A free-falling object is an object that is falling under the sole influence of gravity. Any object that is being acted upon only by the force of gravity is said to be in a state of free fall.

Since the gravitational accereration acting on any body is constant and does not depend upon the mass of the body.

So a blue sphere and a red sphere with the same diameter will fall simultaneously on the floor under the influence of the gravity.

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The value of the expression which is given as -37 - 15 - (-27) is -25 using  PEMDAS rule. So, correct option is B.

To evaluate the expression -37 - 15 - (-27), we need to follow the order of operations, also known as PEMDAS.

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

In this expression, there are no parentheses or exponents, so we move directly to the subtraction and addition operations.

First, we simplify the double negative in the expression, which gives us:

-37 - 15 + 27

Next, we add -37 and -15 together, which gives us:

-52 + 27

Finally, we subtract 27 from -52, which gives us:

-25

Therefore, the correct option is B.

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Answer:

5,4 and 4,4

Step-by-step explanation:

Answer:

When you multiply two numbers with different signs (positive and negative), the result is always negative.

This can be understood in terms of the basic properties of multiplication and the fact that a negative number is essentially the opposite of a positive number. When you multiply a positive number by a positive number, the result is positive because both numbers are pointing in the same direction along the number line. When you multiply a negative number by a negative number, the result is also positive because both numbers are pointing in the opposite direction along the number line, and multiplying them together "flips" them back to the positive side. However, when you multiply a positive number by a negative number, the two numbers are pointing in opposite directions along the number line, and so their product is negative.

Therefore, the rule for multiplying two numbers with different signs is that the product is always negative.

Step-by-step explanation:

Answer:

Ok, sabemos que Carlos ha construido un 3/7 de una casa.

Queremos saber cuanto le falta para terminar de construirla.

Entonces podemos realizar el cálculo:

1 casa - lo que Carlos ya construyo = Lo que le falta.

Entonces:

1 casa - 3/7 de una casa = X

Podemos reescribir:

1 casa = 7/7 de una casas

así tenemos:

7/7 de una casa  - 3/7 de una casa = X

(7/7 - 3/7) de una casa = X

4/7 de una casa  = X

Así podemos concluir que a Carlos le falta construir 4/7 de una casa para acabar.

The Ti-84 Plus calculator can be used to find the z-scores that bound the middle 96% of the area under the standard normal curve. The z-scores should be entered in ascending order and rounded to two decimal places.

To calculate the z-scores, we need to find the boundaries that enclose the middle 96% of the area under the standard normal curve. Since the standard normal curve has a total area of 1, the remaining 4% is divided equally into two tails, each containing 2%. To find the z-scores corresponding to these boundaries, we can use the inverse normal distribution function on the Ti-84 Plus calculator.

Using the inverse normal distribution function, we can find the z-score that corresponds to a cumulative probability of 0.02 (2% on one tail). This z-score represents the lower boundary. Similarly, we can find the z-score corresponding to a cumulative probability of 0.98 (2% on the other tail), which represents the upper boundary.

By entering these z-scores in ascending order and rounding them to two decimal places, we can determine the z-scores that bound the middle 96% of the area under the standard normal curve using the Ti-84 Plus calculator.

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The probability that a three-  number integer is separable by 7 is 3/20or 0.15.

To determine the probability that a three-  number number is separable by 7, we need to count the number of three-  number integers that are separable by 7 and  also divide that number by the total number of three-  number integers.

First, we need to find the lowest three-  number integer that's separable by 7. We know that 14 is the  lowest two-  number integer separable by 7, so the  lowest three-  number integer that's separable by 7 will be the coming multiple of 7, which is 105.    

Next, we need to find the largest three-  number integer that's separable by 7. The largest three-  number integer is 999, and the largest multiple of 7 that's  lower than or equal to 999 is 994.    So, we need to count the number of integers that are separable by 7 between 105 and 994.

We can do this by using the formula for the number of integers in an  computation sequence  

number of integers = ( last term-first term)/ common difference  

In this case, the first term is 105, the last term is 994, and the common difference is 7, so we have  

number of integers = ( 994- 105)/ 7 1 =  135  

Thus, there are 135 three-  number integers that are separable by 7.    

The total number of three-  number integers is 900( from 100 to 999). So, the probability that a three-  number integer is separable by 7 is    probability =  number of integers that are separable by 7/ total number of three-  number integers  probability

=  135/ 900  probability =  3/ 20

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One binomial's terms are multiplied by the other binomial's terms. The algebraic total of these products is then calculated after this step. We employ a technique called the FOIL method to multiply binomials.

Therefore, the order in which the terms are multiplied in this order is FOIL (First Outer Inner Last).

An algebraic expression with two terms joined by a plus or minus sign is known as a binomial. Binomial multiplication is comparable to multiplying two whole numbers or fractions. Utilising the distributive property of multiplication twice is one way to multiply binomials.

The letters in the acronym FOIL stand for First, Outer, Inner, and Last. Since only binomials may be multiplied using this approach, it cannot be used to multiply all polynomials. The FOIL formula has the following general form: (a + b) (c + d) = ac + ad + bc + bd.

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The equation model of the given statement in question is 6 + 7× x.

The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.

In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.

Given that;

6 is added to product of a number and 7

Now,

Let, the number multiplied by 7 be x,

=7*x

6 is added to the product;

= 6 + 7 × x

Therefore, the equation of model will be given as 6 + 7 × x;

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The given function is linear and slope intercept form.

To identify the function.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given that:

The given function is

y=1/2x+6

Put this equation into a graphing calculator and you will find that each y value will be 1/2 the x value plus 6

The y-intercept simply means the value of y when x=0.

The slope is 1/2 and the y-intercept is 6.

So, the given function is linear and slope intercept form.

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.

Answer:

12z - 18

Step-by-step explanation:

Answer:

12z - 18

Step-by-step explanation:

3(4z-6)

"12z-18"

Answer: AI:EF

Step-by-step explanation:

Answer:

D. ) AI:EF

Step-by-step explanation:

PLATO

We can see here that expected value per ticket is: $4.34

The average sum of money that a purchaser of a raffle ticket may anticipate winning is known as the expected value of a ticket. It is computed by multiplying the likelihood of each award by its value in money, adding all the results, and then computing the result.

The total amount of money collected from selling tickets:

Total amount collected = Number of tickets sold × Price per ticket

Total amount collected = 150 × $20 = $3000

Expected value = (Probability of winning) × (Value of the prize).

$300 prize:

Probability of winning = 1 / Total number of tickets = 1 / 150

Expected value for $300 prize = (1 / 150) × $300 = $2

$150 prize:

Probability of winning = 1 / Total number of tickets = 1 / 150

Expected value for $150 prize = (1 / 150) × $150 = $1

Two $50 prizes:

Probability of winning = 2 / Total number of tickets = 2 / 150

Expected value for each $50 prize = (2 / 150) × $50 = $0.67.

Total expected value per ticket = Expected value for $300 prize + Expected value for $150 prize + 2 × Expected value for $50 prize

Total expected value per ticket = $2 + $1 + (2 × $0.67) = $2 + $1 + $1.34 = $4.34

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The complete question is:

One hundred fifty tickets for a raffle are sold for $20 per ticket. The four winning prizes are $300, $150, and two $50 prizes. Find the expected value per ticket.

Answer:

x = 3/2y

y = 2/3x

Step-by-step explanation:

x = 3/2y

Swap sides so that all variable terms are on the left hand side

2x + 15 = 3y + 15

Subtract 15 from both sides

2x = 3y + 15 - 15

Subtract 15 from 15 to get 0

2x = 3y

Divide both sides by 2

2x/2= 3y/2

Dividing by 2 undoes the multiplication by 2

X = 3y/2

Y = 2/3x

Subtract 15 from both sides

3y = 2x + 15 - 15

Subtract 15 from 15 to get 0

3y = 2x

Divide both sides by 3

3/3y = 2/3x

Dividing by 3 undoes the multiplication by 3

y = 2/3x

Answer:

80?

Step-by-step explanation:

the total amount of degrees  in a hexagon is 720. Divide that by 6 and you get 120. Each corner is 120. It doesnt have a right angle measure on it so it has to be lowerer then 90.

Answer:

Y=16

Step-by-step explanation:

Becasue if you substitute 2 in for x, you get 8 times 2=16

Answer:

y=8 and

x=2

If x=2, then

8x=8*2=16

so therefore , y=8x i.e 16

y=16

SIMPLE AS THAT !!

Step-by-step explanation:

Answer:

3x²

im lazy to solve right now

hope it helps

Answer:

Step-by-step explanation:

half of the circle is 180 degrees

so x + 3x = 180

4x = 180

x = 45

Answer: rs 4800, rs 3456

Step-by-step explanation:j

given data:

length of a sid = 48m

cost of ploughing the field = rs 25/m

cost of fencing the field = rs 18/m

solution:

we know a square has four equal sides. so total length of the field is

= m ( 48 + 48 +48 + 48 )

= 192m

cost of ploughing the field

= 192m * rs 25

= rs 4800

cos of fencing the field

= 192m * rs 18

= rs 3456

For the molecule on the left with a bromine atom, the highest priority group is the bromine atom which is to the right, the lowest priority group is the hydrogen atom which is behind the plane, and the remaining two groups, carbon and chlorine, are on the same side of the plane.

The orientation of the remaining two groups is such that the lower priority atom is behind the plane, and we move from the highest to the lowest priority in the clockwise direction, so the stereochemistry is R.  For the molecule on the right with a chlorine atom, the highest priority group is the chlorine atom which is to the left, the lowest priority group is the hydrogen atom which is behind the plane, and the remaining two groups, carbon and bromine, are on the same side of the plane. The orientation of the remaining two groups is such that the lower priority atom is behind the plane, and we move from the highest to the lowest priority in the clockwise direction, so the stereochemistry is R.  

Both the molecules are diastereomers because they have different configurations at both stereocenters.  Diastereomers are a type of stereoisomers that are not enantiomers. Diastereomers are stereoisomers of a molecule that have different configurations at one or more chiral centers and are not mirror images of each other. They do not have to share the same physical properties, such as melting or boiling points. They have different chemical and physical properties.

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Answer: The correct answer is A)

Answer:

I don't get it but in my opinion I would say it's 4

The side length of the cube is greater than 12 inches (1 foot). Then the moving boxes fit will not fit.

Suppose that: The side length of the considered cube is L units. Then, we get:

Volume of that cube = L³ cubic units.

Carrie is packing her clothes in moving boxes that are in the shape of a cube. Each box has a volume of 3 cubic feet.

Then the side length of the cube will be given as,

L³ = 3

L = 1.44 feet

The moving truck has shelves that are 12 inches (1 foot) in height.

The side length of the cube is greater than 12 inches (1 foot). Then the moving boxes fit will not fit.

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This macroeconomic model illustrates how changes in different factors (consumption, investment, government spending, exports, and imports) and their relationships with income can impact the equilibrium level of national income.

Based on the given equations, Y represents the equilibrium level of national income, which is determined by the levels of consumption (C), investment (I), government spending (G), exports (X), and imports (M).

The consumption equation, C, is dependent on disposable income (Y-T), where a represents the marginal propensity to consume (MPC) and b represents autonomous consumption. This means that as disposable income increases, consumption will increase, but at a decreasing rate due to the MPC. Autonomous consumption, on the other hand, is independent of income and reflects the amount of consumption that would still occur even if income were zero.

The tax equation, T, shows that taxes are a function of income (Y), where t represents the tax rate. As income increases, taxes will also increase proportionally.

Overall, this macroeconomic model illustrates how changes in different factors (consumption, investment, government spending, exports, and imports) and their relationships with income can impact the equilibrium level of national income.

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Answer:

a) 4x-8

b) 3y + 27

c) -6 + 2r

Step-by-step explanation:

Here, we want to use the distributive property to evaluate the given expressions

Mathematically, the distributive property is;

(a + b) * c = (a * c) + (b * c)

So we use this on each of our questions;

a) 4(x-2)

= (4 * x) - (4 * 2) = 4x-8

b) 3(y + 9)

= (3 * y) + (3 * 9)

= 3y + 27

c) -2(3-r)

= (-2 * 3) - (-2 * r)

= -6 + 2r

The degree of a function determines the most number of solutions that function could have and the most number often times a function will cross the x-axis. As a result, sometimes the degree can be 0, which means the equation does not have any solutions or any instances of the graph crossing the x-axis.

-2, -1, -5, and -40 cross the x-axis while your positive numbers do not.

The unknown angle in the triangle is as follows:

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

A triangle can be named base on it's angles or sides. They include equilateral triangle, scalene triangle, Isosceles triangle, Right triangle, Acute triangle etc

Therefore, let's solve the angle C of the triangle as follows;

m∠C = 2x

x + 2x + 3x = 180

6x = 180

divide both sides by 6

x = 180 / 6

x = 30

Therefore,

m∠C = 2x = 2(30) = 60 degrees.

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